Isolation of cuspidal spectrum, with application to the Gan--Gross--Prasad conjecture
Number Theory
2021-06-22 v3 Representation Theory
Abstract
We introduce a new technique for isolating components on the spectral side of the trace formula. By applying it to the Jacquet--Rallis relative trace formula, we complete the proof of the global Gan--Gross--Prasad conjecture and its refinement Ichino--Ikeda conjecture for in the stable case.
Keywords
Cite
@article{arxiv.1912.07169,
title = {Isolation of cuspidal spectrum, with application to the Gan--Gross--Prasad conjecture},
author = {Raphaël Beuzart-Plessis and Yifeng Liu and Wei Zhang and Xinwen Zhu},
journal= {arXiv preprint arXiv:1912.07169},
year = {2021}
}
Comments
minor revision; 48 pages; to appear in Annals of Mathematics